A 33-μF capacitor carries 2.2 A rms. What's its minimum safe voltage rating if the frequency is

step 1 Hi, here in this given problem, capacitance of the capacitor in AC circuit that is 33 micro ferr

A 33-μF capacitor carries 2.2 A rms. What's its minimum safe...

Key Concepts

RMS and Peak Voltage Relationship

In AC circuits, the voltage and current are commonly expressed in terms of their root-mean-square (RMS) values, which represent the effective or equivalent DC values for power calculations. However, the actual instantaneous or peak voltage is higher than the RMS value, generally by a factor of ?2 for sinusoidal signals. Understanding this relationship is important when using RMS current values to determine the maximum (peak) voltage that appears across reactive components like capacitors.

Voltage Rating of Capacitors

The voltage rating of a capacitor specifies the maximum voltage that can safely be applied across the capacitor without risking damage to its dielectric material. Ensuring that the peak voltage in an AC circuit does not exceed this rating is crucial for the reliable and safe operation of the capacitor. This concept involves calculating the peak voltage from given RMS values and capacitive reactance to decide on a minimum safe voltage rating.

Capacitive Reactance

Capacitive reactance is the opposition that a capacitor offers to the flow of alternating current (AC). It is inversely proportional to both the frequency of the AC signal and the capacitance, which means that as either frequency increases or capacitance increases, the reactance decreases. This concept is fundamental in determining how much voltage will be dropped across a capacitor when a certain current flows through it.

Transcript

Please give Ace some feedback